Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.2 - The Quadratic Formula - Exercise Set - Page 607: 12


{$\dfrac{-1}{18} - \dfrac{\sqrt{71}}{18}i,\dfrac{-1}{18} + \dfrac{\sqrt{71}}{18}i$}

Work Step by Step

Quadratic formula suggests that $x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$ Since, $9x^2+x+2=0$ Thus, $x=\dfrac{-(1) \pm \sqrt{(1)^2-4(9)(2)}}{2(9)}$ or, $x=\dfrac{-1 \pm \sqrt{-71}}{18}$ or, $x=\dfrac{-1}{18} \pm \dfrac{\sqrt{71}}{18}i$ or, $x=\dfrac{-1}{18} - \dfrac{\sqrt{71}}{18}i,\dfrac{-1}{18} + \dfrac{\sqrt{71}}{18}i$ Our solution set is: {$\dfrac{-1}{18} - \dfrac{\sqrt{71}}{18}i,\dfrac{-1}{18} + \dfrac{\sqrt{71}}{18}i$}
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